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29627122644 = 22327216795421
BaseRepresentation
bin11011100101111010…
…100000001111010100
32211110202122202210200
4123211322200033110
5441134020411034
621335512020500
72066121246600
oct334572401724
984422582720
1029627122644
1111623813829
1258aa091730
132a4205bc02
141610b04500
15b86021a99
hex6e5ea03d4

29627122644 has 54 divisors (see below), whose sum is σ = 87117853914. Its totient is φ = 8464891680.

The previous prime is 29627122633. The next prime is 29627122697. The reversal of 29627122644 is 44622172692.

29627122644 is a `hidden beast` number, since 2 + 9 + 627 + 12 + 2 + 6 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28153484100 + 1473638544 = 167790^2 + 38388^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29627122644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8395947 + ... + 8399474.

It is an arithmetic number, because the mean of its divisors is an integer number (1613293591).

Almost surely, 229627122644 is an apocalyptic number.

It is an amenable number.

29627122644 is an abundant number, since it is smaller than the sum of its proper divisors (57490731270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29627122644 is a wasteful number, since it uses less digits than its factorization.

29627122644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16795445 (or 16795433 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 29627122644 in words is "twenty-nine billion, six hundred twenty-seven million, one hundred twenty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 16795421 33590842 50386263 67181684 100772526 117567947 151158789 201545052 235135894 302317578 352703841 470271788 604635156 705407682 822975629 1058111523 1410815364 1645951258 2116223046 2468926887 3291902516 4232446092 4937853774 7406780661 9875707548 14813561322 29627122644